Analysis of the ground-state band and a closely related intercalated band of (235)(92)U(143) by the two-revolving-cluster model with consideration of symmetric and antisymmetric resonance of the two dissimilar clusters

Pauling, Linus and Kamb, Barclay
(1993)
Analysis of the ground-state band and a closely related intercalated band of (235)(92)U(143) by the two-revolving-cluster model with consideration of symmetric and antisymmetric resonance of the two dissimilar clusters.
Proceedings of the National Academy of Sciences of the United States of America, 90
(13).
pp. 5901-5903.
ISSN 0027-8424.
http://resolver.caltech.edu/CaltechAUTHORS:PAUpnas93

Abstract

The reported ground-state band of U-235(92)143 extending from J = 7/2- to 51/2- is found to be two intercalated bands, one beginning with 7/2- and the other with 9/2-, each with DELTAJ = 2. Analysis by the two-resonating-cluster model leads to 3875 Da.fm2 for the moment of inertia for the first few levels, then increasing by centrifugal stretching. This value is interpreted by the structure p70n112 for the central sphere with clusters p11n16 and p11n15 with radius of revolution R = 8.55 fm. The major principal axis of the Poinsot ellipsoid is taken to be determined by an unquantized number K, with vector intermediate in orientation between L and J. The values of K are found by empirical analysis to equal L + 0.28, with the theory of rotation of the ellipsoid giving L + 0.28 for 7/2-, slowly decreasing to L + 0.251 for 51/2-. The 7/2- band is based on odd values of L (negative parity) and the 9/2- band on even values (positive parity). Negative parity for both bands is achieved by symmetric resonance of the two dissimilar clusters in the 7/2- band and antisymmetric resonance in the 9/2- band.